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Finding the Fourth Proportional to 180.78, 249.62 and 145.70

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Solution

The fourth proportional to 180.78, 249.62 and 145.70 is: 201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.78 : 249.62 = 145.70 : x
  2. Step 2: Convert to fraction form
    180.78/249.62 = 145.70/x
  3. Step 3: Cross multiply
    180.78x = 249.62 × 145.70
  4. Step 4: Simplify right side
    180.78x = 36,367.66
  5. Step 5: Solve for x
    x = 36,367.66/180.78
  6. Step 6: Final answer
    x = 201.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.